Sebastiano Don

activity

20172026

most citedA rectifiability result for finite-perimeter sets in Carnot groups

11 citations · 23 across the 12 of their papers we have counts for

collaborators

Showing 2022Show all

2 papers · 1 filter

math.AP2022★ 2 cited

Weighted Gagliardo-Nirenberg inequalities via Optimal Transport Theory and Applications

Zoltán M. Balogh, Sebastiano Don, Alexandru Kristály

We prove Gagliardo-Nirenberg inequalities with three weights -- verifying a joint concavity condition -- on open convex cones of $R^{n}$ . If the weights are equal to each oth…

math.AP2022

Sharp weighted log-Sobolev inequalities: characterization of equality cases and applications

Zoltán M. Balogh, Sebastiano Don, Alexandru Kristály

By using optimal mass transport theory, we provide a direct proof to the sharp $L^{p}$ -log-Sobolev inequality $(p \geq 1)$ involving a log-concave homogeneous weight on an open convex…